Verified Solution • 2025–26 Session moderate

QJEEM20Ma7084: JEE Main 2020 Mathematics - Class 11 JEEM20Ma7084 Solution: The proposition p ~ (p ~q) is equivalent to :

The proposition p →\to ~ (p ∧\wedge ~q) is equivalent to :

Multiple Choice Options

  • A ( ∼\sim p) ∨\vee q
  • B q
  • C ( ∼\sim p) ∧\wedge q
  • D ( ∼\sim p) ∨\vee ( ∼\sim q)

Step-by-Step Verified Solution

p→ ∼(p∧∼q)p \to \, \sim (p \wedge \sim q)

≡p→(∼p∨q)\equiv p \to ( \sim p \vee q)

≡ ∼p∨(∼p∨q)\equiv \, \sim p \vee ( \sim p \vee q)

≡ ∼p∨q\equiv \, \sim p \vee q

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